Physics · Kinetic Theory of Gases
Consider a cube of volume V containing N molecules, each of mass m, with a uniform density n = NV. Suppose this system is equivalent to a system of M non-interacting gases such that the number of molecules of the ith gas is Ni = niV, each having an identical y-component of velocity vi. What is the pressure P exerted on the surface ABCD of area A perpendicular to the y-axis?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1P = 2m ∑i=1M ni vi2
- 2P = m ∑i=1M ni vi22
- 3P = m ∑i=1M ni vi2∑i=1M ni
- 4P = m ∑i=1M ni vi2✓
Correct answer
P = m ∑i=1M ni vi2
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